# 2332

## 2,332 is an even composite number composed of three prime numbers multiplied together.

What does the number 2332 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

2332 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 2332:

### 22 × 11 × 53

(2 × 2 × 11 × 53)

See below for interesting mathematical facts about the number 2332 from the Numbermatics database.

### Names of 2332

• Cardinal: 2332 can be written as Two thousand, three hundred thirty-two.

### Scientific notation

• Scientific notation: 2.332 × 103

### Factors of 2332

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 66

### Divisors of 2332

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4536
• Sum of proper divisors (its aliquot sum) s(n): 2204
• 2332 is a deficient number, because the sum of its proper divisors (2204) is less than itself. Its deficiency is 128

### Bases of 2332

• Binary: 1001000111002
• Base-36: 1SS

### Squares and roots of 2332

• 2332 squared (23322) is 5438224
• 2332 cubed (23323) is 12681938368
• The square root of 2332 is 48.2907858705
• The cube root of 2332 is 13.2609971593

### Scales and comparisons

How big is 2332?
• 2,332 seconds is equal to 38 minutes, 52 seconds.
• To count from 1 to 2,332 would take you about thirty-eight minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 2332 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2332

• 2332 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 2332's digits is 10
• More coming soon!